数学图式

Question

请问，有人能告诉我是否可以在 LaTeX 中绘制以下模式吗？

Answer 1

图片中的图表使用了过时CD的环境amsmath。好吧，三十五年前有总比没有好！

利用更加现代化的工具，我们可以做得更好。

\documentclass{article}
\usepackage{amsmath,amssymb}
\usepackage{tikz-cd}

\usepackage{amscd} % for emulating the original

\newcommand{\CC}{\mathbb{C}}
\newcommand{\cP}{\mathcal{P}}
\newcommand{\cD}{\mathcal{D}}
\newcommand{\uE}{\mathrm{E}}

\begin{document}

This is the diagram obtained with modern tools
\begin{equation}
\begin{tikzcd}
\cP_{\CC} \otimes \cP_{\CC} \arrow[r,"\Delta(D)"] & \cP_{\CC} \otimes \cP_{\CC}
\\[-2.5ex] % reduce the vertical space between these two rows
X \otimes Y \arrow[r] \arrow[d,"\delta"] & \cD X \otimes Y + X \otimes\cD Y \arrow[d,"\delta"]
\\
X \star Y \arrow[r] \arrow[d,"\uE"] & \cD X \star Y + X \star \cD Y \arrow[d,"\uE"]
\\
E[X \star Y] \arrow[r,"\cD"] & E[\cD X \star Y + X \star \cD Y]
\end{tikzcd}
\end{equation}

This is instead the original diagram
\begin{equation}
\begin{CD}
\cP_{\CC} \otimes \cP_{\CC} @>\Delta(D)>> \cP_{\CC} \otimes \cP_{\CC} \\
X \otimes Y @>>> \cD X \otimes Y + X \otimes\cD Y \\
@VV\delta V @VV\delta V \\
X \star Y @>>> \cD X \star Y + X \star \cD Y \\
@VV\uE V @VV\uE V \\
E[X \star Y] @>\cD>> E[\cD X \star Y + X \star \cD Y]
\end{CD}
\end{equation}

\end{document}

我还添加了原文以供比较。